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Popular >

y=-5cos(pi/(16)x)-4

Solution

y = - 5 cos (\frac{π}{16} x) - 4

Solution

Period : 32

Domain : - \infty < x < \infty

Range : - 9 \leq f (x) \leq 1

X Intercepts : (\frac{16 arccos ( - \frac{4}{5} )}{π} + 32 n, 0), (- \frac{16 arccos ( - \frac{4}{5} )}{π} + 32 + 32 n, 0), Y Intercepts : (0, - 9)

Asymptotes : None

Extreme Points : Minimum (32 n, - 9), Maximum (16 + 32 n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 9, 1]

Solution steps

Periodicity of

- 5 cos (\frac{π}{16} x) - 4 : 32

Domain of

- 5 cos (\frac{π}{16} x) - 4 : - \infty < x < \infty

Range of

- 5 cos (\frac{π}{16} x) - 4 : - 9 \leq f (x) \leq 1

Axis interception points of

- 5 cos (\frac{π}{16} x) - 4 :

X Intercepts

: (\frac{16 arccos ( - \frac{4}{5} )}{π} + 32 n, 0), (- \frac{16 arccos ( - \frac{4}{5} )}{π} + 32 + 32 n, 0),

Y Intercepts

: (0, - 9)

Asymptotes of

- 5 cos (\frac{π}{16} x) - 4 :

None

Extreme Points of

- 5 cos (\frac{π}{16} x) - 4 :

Minimum

(32 n, - 9),

Maximum

(16 + 32 n, 1)

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Frequently Asked Questions (FAQ)

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